Unified Approach to Floquet Lattices, Topological Insulators, and Their Nonlinear Dynamics

DOI10.1137/22M1496979arXiv2206.05832MaRDI QIDQ6114577

Justin T. Cole, Mark J. Ablowitz, Sean Nixon

Publication date: 14 August 2023

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.05832

zbMATH Keywords

latticenonlinearChern numbertopological photonics

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Cites Work

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• Bulk-edge correspondence for two-dimensional Floquet topological insulators
• Quantal phase factors accompanying adiabatic changes
• Effective Gaps in Continuous Floquet Hamiltonians
• Honeycomb lattice potentials and Dirac points
• The Haldane model and its localization dichotomy
• Multiscale Invariants of Floquet Topological Insulators

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